Bulk-edge correspondence of periodically driven 2D systems with time-reversal symmetry

ORAL

Abstract

We propose an edge invariant for two-dimensional Floquet systems with time-reversal symmetry. This edge index is physically motivated and locally computable. In addition, we generalize an existing construction of a bulk invariant to systems with disorder. Finally, we derive a bulk-edge correspondence which relates the nontrivial bulk behavior with the edge modes present on a boundary at the end of the evolution. Our results provide the first bulk-boundary correspondence for Floquet systems in this symmetry class.

*Bhaumik Institute, NSF

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Presenters

  • Xu Liu

    • Physics & Astronomy, University of California, Los Angeles
    • Physics and Astronomy, University of California, Los Angeles

Authors

  • Xu Liu

    • Physics & Astronomy, University of California, Los Angeles
    • Physics and Astronomy, University of California, Los Angeles

  • Fenner Harper

    • Physics, University of California at Los Angeles
    • Physics & Astronomy, University of California, Los Angeles
    • Physics and Astronomy, University of California, Los Angeles
    • University of California, Los Angeles

  • Rahul Roy

    • Physics, University of California at Los Angeles
    • Physics & Astronomy, University of California, Los Angeles
    • Physics and Astronomy, University of California, Los Angeles
    • University of California, Los Angeles